Convolution and Equidistribution : Sato-Tate Theorems for Finite-Field Mellin Transforms (AM-180) Hardback
by Nicholas M. Katz
Part of the Annals of Mathematics Studies series
Hardback
Description
Convolution and Equidistribution explores an important aspect of number theory--the theory of exponential sums over finite fields and their Mellin transforms--from a new, categorical point of view.
The book presents fundamentally important results and a plethora of examples, opening up new directions in the subject.
The finite-field Mellin transform (of a function on the multiplicative group of a finite field) is defined by summing that function against variable multiplicative characters.
The basic question considered in the book is how the values of the Mellin transform are distributed (in a probabilistic sense), in cases where the input function is suitably algebro-geometric.
This question is answered by the book's main theorem, using a mixture of geometric, categorical, and group-theoretic methods.
By providing a new framework for studying Mellin transforms over finite fields, this book opens up a new way for researchers to further explore the subject.
Information
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Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Hardback
- Pages:208 pages
- Publisher:Princeton University Press
- Publication Date:24/01/2012
- Category:
- ISBN:9780691153308
Other Formats
- Paperback / softback from £72.75
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Hardback
- Pages:208 pages
- Publisher:Princeton University Press
- Publication Date:24/01/2012
- Category:
- ISBN:9780691153308
